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135148500 = 2234534771
BaseRepresentation
bin10000000111000…
…11001111010100
3100102022020220000
420003203033110
5234044223000
621224411300
73230512644
oct1003431724
9312266800
10135148500
116a319083
1239316b30
1321ccc036
1413d40524
15bce9000
hex80e33d4

135148500 has 240 divisors, whose sum is σ = 456648192. Its totient is φ = 34776000.

The previous prime is 135148469. The next prime is 135148511. The reversal of 135148500 is 5841531.

135148500 is a `hidden beast` number, since 13 + 5 + 148 + 500 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1903465 + ... + 1903535.

Almost surely, 2135148500 is an apocalyptic number.

135148500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135148500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228324096).

135148500 is an abundant number, since it is smaller than the sum of its proper divisors (321499692).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

135148500 is a wasteful number, since it uses less digits than its factorization.

135148500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 135148500 is about 11625.3387047432. The cubic root of 135148500 is about 513.1808124302.

The spelling of 135148500 in words is "one hundred thirty-five million, one hundred forty-eight thousand, five hundred".